Corpus ID: 220127982

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

@article{Ranocha2020ABC,
  title={A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations},
  author={Hendrik Ranocha and D. E. Mitsotakis and David I. Ketcheson},
  journal={ArXiv},
  year={2020},
  volume={abs/2006.14802}
}
  • Hendrik Ranocha, D. E. Mitsotakis, David I. Ketcheson
  • Published 2020
  • Computer Science, Mathematics, Physics
  • ArXiv
  • We develop general tools to construct fully-discrete, conservative numerical methods and apply them to several nonlinear dispersive wave equations: Benjamin-BonaMahony (BBM), Fornberg-Whitham, Camassa-Holm, Degasperis-Procesi, Holm-Hone, and the BBM-BBM system. These full discretizations conserve all linear invariants and one nonlinear invariant for each system. The spatial semidiscretizations are built using the unifying framework of summation by parts operators and include finite difference… CONTINUE READING

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